Proof of the decoupling theorem of field theory in Minkowski space. II. Theories involving particles with vanishingly small masses

Journal Article · Wed May 01 00:00:00 EDT 1985 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526538· OSTI ID:5922619

Manoukian, E B

The decoupling theorem of quantum field theory is studied in Minkowski space for theories which on experimental grounds may contain particles with vanishingly small masses. Rules are set up to prove the distributional vanishing property of the renormalized amplitudes when any subset of the underlying masses is scaled to infinity, and any subset of the remaining masses is scaled to zero. By careful estimates, the analysis in Minkowski space may be reduced to a similar one in Euclidean space. All subtractions of renormalization are carried out at the origin of momentum space with the degree of divergence of a subtraction coinciding with the dimensionality of the corresponding subdiagram.

• Research Organization: Department of National Defence, Royal Military College of Canada, Kingston, Ontario K7L 2W3, Canada
• OSTI ID: 5922619
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 26:5
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
ASYMPTOTIC SOLUTIONS
MASS RENORMALIZATION
AMPLITUDES
DECOUPLING
MASS
MINKOWSKI SPACE
PARTICLES
SCALING LAWS
FIELD THEORIES
MATHEMATICAL SPACE
RENORMALIZATION
SPACE
645400* - High Energy Physics- Field Theory